Yuwen Luo
Abstract:
In this article, the author studies the regularity of 3D generalized
Navier-Stokes (GNS) equations with fractional dissipative terms
.
It is proved that if
with
then any smooth on GNS in
remains smooth on
.
Submitted April 8, 2010. Published August 2, 2010.
Math Subject Classifications: 35D10, 35Q35, 76D03.
Key Words: Generalized Navier-Stokes equation;
regularity; Serrin criteria.
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Yuwen Luo School of Mathematics and Statistics Chongqing University of Technology Chongqing 400050, China email: petitevin@gmail.com |
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